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permutation and combination problems with solutions and answers

10 Articles

If 56Pr+ 6 : 54Pr + 3 = 30800 : 1 then the value of r is ?

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Answer : B. 41

In a meeting between two countries, each country has 12 delegates. All the delegates of one country shake hands with all delegates of the other country. Find the number of handshakes possible ?

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Answer : B . 144

In how many different ways, can the letters of the word ‘INHALE’ be arranged ?

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Answer : A. 720

Find the value of 5P2 ?

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Answer : C . 20

8 men entered a lounge simultaneously. If each person shakes hand with the other, then find the total no. of handshakes ?

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Answer : C. 28

How many groups of 6 persons can be formed from 8 men and 7 women ?

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Answer : B . 5005

In how many different ways the letters of the word ‘MATHEMATICS’ can be arranged so that the vowels always come together ?

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Answer : C. 120960

Evaluate permutation equation 59P3 ?

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Answer : C. 195054

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed ?

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Answer : C. 25200

How many ways the letters of the word ‘ARMOUR’ can be arranged ?

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Answer : D. 360

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